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Shared Qs (022)


  1. Question

    Which graph shows a 316\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  2. Question

    Which graph shows a -181\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  3. Question

    Which graph shows a 155\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  4. Question

    Which graph shows a -77\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  5. Question

    Which graph shows a -172\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  6. Question

    Which graph shows a -163\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  7. Question

    Which graph shows a 86\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  8. Question

    Which graph shows a -224\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  9. Question

    Which graph shows a 47\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  10. Question

    Which graph shows a 87\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  11. Question

    Which graph shows a -1384\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  12. Question

    Which graph shows a 425\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  13. Question

    Which graph shows a -414\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  14. Question

    Which graph shows a -673\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  15. Question

    Which graph shows a 1324\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  16. Question

    Which graph shows a -1035\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  17. Question

    Which graph shows a -1364\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  18. Question

    Which graph shows a 517\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  19. Question

    Which graph shows a 1057\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  20. Question

    Which graph shows a -1023\(^\circ\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  21. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of -789\(^\circ\).


    Solution


  22. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of -952\(^\circ\).


    Solution


  23. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of 786\(^\circ\).


    Solution


  24. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of 1256\(^\circ\).


    Solution


  25. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of -1424\(^\circ\).


    Solution


  26. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of 1124\(^\circ\).


    Solution


  27. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of 1116\(^\circ\).


    Solution


  28. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of -957\(^\circ\).


    Solution


  29. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of 1241\(^\circ\).


    Solution


  30. Question

    Find an angle measure (in degrees) between 0\(^\circ\) and 360\(^\circ\) that is coterminal to an angle of 411\(^\circ\).


    Solution


  31. Question

    Convert 1728\(^\circ\) to rotations. How many rotations is equivalent to 1728 degrees?


    Solution


  32. Question

    Convert 1152\(^\circ\) to rotations. How many rotations is equivalent to 1152 degrees?


    Solution


  33. Question

    Convert 2988\(^\circ\) to rotations. How many rotations is equivalent to 2988 degrees?


    Solution


  34. Question

    Convert 1224\(^\circ\) to rotations. How many rotations is equivalent to 1224 degrees?


    Solution


  35. Question

    Convert 324\(^\circ\) to rotations. How many rotations is equivalent to 324 degrees?


    Solution


  36. Question

    Convert 324\(^\circ\) to rotations. How many rotations is equivalent to 324 degrees?


    Solution


  37. Question

    Convert 2844\(^\circ\) to rotations. How many rotations is equivalent to 2844 degrees?


    Solution


  38. Question

    Convert 2916\(^\circ\) to rotations. How many rotations is equivalent to 2916 degrees?


    Solution


  39. Question

    Convert 684\(^\circ\) to rotations. How many rotations is equivalent to 684 degrees?


    Solution


  40. Question

    Convert 3276\(^\circ\) to rotations. How many rotations is equivalent to 3276 degrees?


    Solution


  41. Question

    Convert 8.1 rotations to degrees. How many degrees is equivalent to 8.1 rotations?


    Solution


  42. Question

    Convert 6.9 rotations to degrees. How many degrees is equivalent to 6.9 rotations?


    Solution


  43. Question

    Convert 4.3 rotations to degrees. How many degrees is equivalent to 4.3 rotations?


    Solution


  44. Question

    Convert 1.6 rotations to degrees. How many degrees is equivalent to 1.6 rotations?


    Solution


  45. Question

    Convert 7.4 rotations to degrees. How many degrees is equivalent to 7.4 rotations?


    Solution


  46. Question

    Convert 9.6 rotations to degrees. How many degrees is equivalent to 9.6 rotations?


    Solution


  47. Question

    Convert 8.7 rotations to degrees. How many degrees is equivalent to 8.7 rotations?


    Solution


  48. Question

    Convert 3.8 rotations to degrees. How many degrees is equivalent to 3.8 rotations?


    Solution


  49. Question

    Convert 9.5 rotations to degrees. How many degrees is equivalent to 9.5 rotations?


    Solution


  50. Question

    Convert 0.8 rotations to degrees. How many degrees is equivalent to 0.8 rotations?


    Solution


  51. Question

    Convert 211\(^\circ\) to radians. How many radians is equivalent to 211 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  52. Question

    Convert 141\(^\circ\) to radians. How many radians is equivalent to 141 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  53. Question

    Convert 34\(^\circ\) to radians. How many radians is equivalent to 34 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  54. Question

    Convert 34\(^\circ\) to radians. How many radians is equivalent to 34 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  55. Question

    Convert 125\(^\circ\) to radians. How many radians is equivalent to 125 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  56. Question

    Convert 349\(^\circ\) to radians. How many radians is equivalent to 349 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  57. Question

    Convert 194\(^\circ\) to radians. How many radians is equivalent to 194 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  58. Question

    Convert 195\(^\circ\) to radians. How many radians is equivalent to 195 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  59. Question

    Convert 202\(^\circ\) to radians. How many radians is equivalent to 202 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  60. Question

    Convert 345\(^\circ\) to radians. How many radians is equivalent to 345 degrees?

    The tolerance is \(\pm 0.01\) radians.


    Solution


  61. Question

    Convert 0.84 radians to degrees. How many degrees is equivalent to 0.84 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  62. Question

    Convert 0.76 radians to degrees. How many degrees is equivalent to 0.76 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  63. Question

    Convert 0.38 radians to degrees. How many degrees is equivalent to 0.38 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  64. Question

    Convert 5.82 radians to degrees. How many degrees is equivalent to 5.82 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  65. Question

    Convert 5.38 radians to degrees. How many degrees is equivalent to 5.38 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  66. Question

    Convert 0.22 radians to degrees. How many degrees is equivalent to 0.22 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  67. Question

    Convert 4.06 radians to degrees. How many degrees is equivalent to 4.06 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  68. Question

    Convert 0.81 radians to degrees. How many degrees is equivalent to 0.81 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  69. Question

    Convert 3.76 radians to degrees. How many degrees is equivalent to 3.76 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  70. Question

    Convert 1.8 radians to degrees. How many degrees is equivalent to 1.8 radians?

    The tolerance is \(\pm 0.1\) degrees.


    Solution


  71. Question

    An arc is drawn along the circumference of a circle with a radius of 7 meters. The arc’s angle is 336 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  72. Question

    An arc is drawn along the circumference of a circle with a radius of 7 meters. The arc’s angle is 320 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  73. Question

    An arc is drawn along the circumference of a circle with a radius of 7 meters. The arc’s angle is 324 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  74. Question

    An arc is drawn along the circumference of a circle with a radius of 7 meters. The arc’s angle is 36 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  75. Question

    An arc is drawn along the circumference of a circle with a radius of 2 meters. The arc’s angle is 220 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  76. Question

    An arc is drawn along the circumference of a circle with a radius of 8 meters. The arc’s angle is 324 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  77. Question

    An arc is drawn along the circumference of a circle with a radius of 2 meters. The arc’s angle is 225 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  78. Question

    An arc is drawn along the circumference of a circle with a radius of 2 meters. The arc’s angle is 252 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  79. Question

    An arc is drawn along the circumference of a circle with a radius of 3 meters. The arc’s angle is 135 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  80. Question

    An arc is drawn along the circumference of a circle with a radius of 4 meters. The arc’s angle is 108 degrees. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  81. Question

    An arc is drawn along the circumference of a circle with a radius of 6 meters. The arc’s angle is \(\frac{28\pi}{15}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  82. Question

    An arc is drawn along the circumference of a circle with a radius of 8 meters. The arc’s angle is \(\frac{5\pi}{3}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  83. Question

    An arc is drawn along the circumference of a circle with a radius of 8 meters. The arc’s angle is \(\frac{6\pi}{5}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  84. Question

    An arc is drawn along the circumference of a circle with a radius of 5 meters. The arc’s angle is \(\frac{4\pi}{15}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  85. Question

    An arc is drawn along the circumference of a circle with a radius of 5 meters. The arc’s angle is \(\frac{5\pi}{9}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  86. Question

    An arc is drawn along the circumference of a circle with a radius of 3 meters. The arc’s angle is \(\frac{1\pi}{4}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  87. Question

    An arc is drawn along the circumference of a circle with a radius of 6 meters. The arc’s angle is \(\frac{9\pi}{5}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  88. Question

    An arc is drawn along the circumference of a circle with a radius of 4 meters. The arc’s angle is \(\frac{26\pi}{15}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  89. Question

    An arc is drawn along the circumference of a circle with a radius of 2 meters. The arc’s angle is \(\frac{7\pi}{5}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  90. Question

    An arc is drawn along the circumference of a circle with a radius of 2 meters. The arc’s angle is \(\frac{2\pi}{5}\) radians. What is the arc’s length in meters?

    plot of chunk unnamed-chunk-2

    The tolerance is \(\pm0.01\) meters.


    Solution


  91. Question

    Which graph shows an angle measuring \(\frac{4\pi}{3}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  92. Question

    Which graph shows an angle measuring \(\frac{4\pi}{9}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  93. Question

    Which graph shows an angle measuring \(\frac{2\pi}{5}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  94. Question

    Which graph shows an angle measuring \(\frac{6\pi}{7}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  95. Question

    Which graph shows an angle measuring \(\frac{21\pi}{11}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  96. Question

    Which graph shows an angle measuring \(\frac{18\pi}{11}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  97. Question

    Which graph shows an angle measuring \(\frac{9\pi}{11}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  98. Question

    Which graph shows an angle measuring \(\frac{7\pi}{6}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  99. Question

    Which graph shows an angle measuring \(\frac{18\pi}{11}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  100. Question

    Which graph shows an angle measuring \(\frac{5\pi}{3}\) radians in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  101. Question

    An angle measure, \(\theta\), equals \(\frac{-46\pi}{9}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  102. Question

    An angle measure, \(\theta\), equals \(\frac{-18\pi}{7}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  103. Question

    An angle measure, \(\theta\), equals \(\frac{-12\pi}{5}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  104. Question

    An angle measure, \(\theta\), equals \(\frac{84\pi}{11}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  105. Question

    An angle measure, \(\theta\), equals \(\frac{-12\pi}{5}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  106. Question

    An angle measure, \(\theta\), equals \(\frac{76\pi}{11}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  107. Question

    An angle measure, \(\theta\), equals \(\frac{28\pi}{9}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  108. Question

    An angle measure, \(\theta\), equals \(\frac{-18\pi}{5}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  109. Question

    An angle measure, \(\theta\), equals \(\frac{-6\pi}{7}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  110. Question

    An angle measure, \(\theta\), equals \(\frac{-4\pi}{7}\) radians. A second angle measure, \(\phi\), is coterminal to \(\theta\), and \(0\le\phi<2\pi\). Which graph shows \(\phi\) in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  111. Question

    Which graph shows a \(\frac{-14\pi}{3}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  112. Question

    Which graph shows a \(\frac{32\pi}{5}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  113. Question

    Which graph shows a \(\frac{24\pi}{7}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  114. Question

    Which graph shows a \(\frac{18\pi}{5}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  115. Question

    Which graph shows a \(\frac{17\pi}{7}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  116. Question

    Which graph shows a \(\frac{10\pi}{3}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  117. Question

    Which graph shows a \(\frac{19\pi}{6}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  118. Question

    Which graph shows a \(\frac{14\pi}{3}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  119. Question

    Which graph shows a \(\frac{52\pi}{7}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  120. Question

    Which graph shows a \(\frac{-11\pi}{6}\) angle in standard position?

    plot of chunk unnamed-chunk-2


    1. A
    2. B
    3. C
    4. D
    5. E
    6. F
    7. G
    8. H

    Solution


  121. Question

    An arc is drawn along the circumference of a circle with a radius of 4 meters. The arc’s length is \(\frac{20\pi}{3}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  122. Question

    An arc is drawn along the circumference of a circle with a radius of 9 meters. The arc’s length is \(\frac{108\pi}{11}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  123. Question

    An arc is drawn along the circumference of a circle with a radius of 5 meters. The arc’s length is \(\frac{25\pi}{6}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  124. Question

    An arc is drawn along the circumference of a circle with a radius of 9 meters. The arc’s length is \(4\pi\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  125. Question

    An arc is drawn along the circumference of a circle with a radius of 9 meters. The arc’s length is \(\frac{27\pi}{5}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  126. Question

    An arc is drawn along the circumference of a circle with a radius of 5 meters. The arc’s length is \(\frac{30\pi}{7}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  127. Question

    An arc is drawn along the circumference of a circle with a radius of 8 meters. The arc’s length is \(\frac{64\pi}{7}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  128. Question

    An arc is drawn along the circumference of a circle with a radius of 4 meters. The arc’s length is \(\frac{8\pi}{5}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  129. Question

    An arc is drawn along the circumference of a circle with a radius of 5 meters. The arc’s length is \(\frac{55\pi}{6}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  130. Question

    An arc is drawn along the circumference of a circle with a radius of 6 meters. The arc’s length is \(\frac{32\pi}{3}\) meters. What is the arc’s angle measure in radians?

    plot of chunk unnamed-chunk-2

    The angle measure, \(x\), can be expressed as \(\frac{a\pi}{b}\), where \(a\) and \(b\) are both whole numbers with no shared factors other than 1. Find \(a\) and \(b\).



    Solution


  131. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=6\) meters. The arc’s length is \(L=23.22\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  132. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=8\) meters. The arc’s length is \(L=28.16\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  133. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=6\) meters. The arc’s length is \(L=11.28\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  134. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=5\) meters. The arc’s length is \(L=5.8\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  135. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=5\) meters. The arc’s length is \(L=5.1\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  136. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=4\) meters. The arc’s length is \(L=5.28\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  137. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=6\) meters. The arc’s length is \(L=7.86\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  138. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=6\) meters. The arc’s length is \(L=30.6\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  139. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=8\) meters. The arc’s length is \(L=18.8\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  140. Question

    An arc is drawn along the circumference of a circle with a radius of \(r=6\) meters. The arc’s length is \(L=31.2\) meters. What is the corresponding sector’s area (labelled \(A\)) in square meters?

    plot of chunk unnamed-chunk-2

    Please give an exact answer (in \(\mathrm{m^2}\)).


    Solution


  141. Question

    A circle with radius \(R=4\) ft is cut to a sector with an angle of \(\theta=\frac{4\pi}{3}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  142. Question

    A circle with radius \(R=7\) ft is cut to a sector with an angle of \(\theta=\frac{3\pi}{4}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  143. Question

    A circle with radius \(R=8\) ft is cut to a sector with an angle of \(\theta=\frac{11\pi}{9}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  144. Question

    A circle with radius \(R=6\) ft is cut to a sector with an angle of \(\theta=\frac{8\pi}{7}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  145. Question

    A circle with radius \(R=9\) ft is cut to a sector with an angle of \(\theta=\frac{11\pi}{9}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  146. Question

    A circle with radius \(R=8\) ft is cut to a sector with an angle of \(\theta=\frac{15\pi}{8}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  147. Question

    A circle with radius \(R=6\) ft is cut to a sector with an angle of \(\theta=\frac{15\pi}{8}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  148. Question

    A circle with radius \(R=5\) ft is cut to a sector with an angle of \(\theta=\frac{3\pi}{5}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  149. Question

    A circle with radius \(R=4\) ft is cut to a sector with an angle of \(\theta=\frac{2\pi}{3}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution


  150. Question

    A circle with radius \(R=7\) ft is cut to a sector with an angle of \(\theta=\frac{7\pi}{8}\) radians.

    plot of chunk unnamed-chunk-2

    By connecting the initial side and terminal side, the sector is bent (in 3 dimensions) into a right-circular cone with height \(h\) and radius \(r\). Notice the cone’s slant height equals the radius of the original circle (\(R\)) and the circumference of the cone matches the arc length (\(L\)) of the original circle.

    plot of chunk unnamed-chunk-3

    Find the ratio of the cone’s height to the cone’s radius.

    \[\frac{h}{r} ~=~ ?\]

    The tolerance is \(\pm 0.01\).


    Solution